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Question

Find the expansion of
$(x + 5) (x - 3) (x - 1)$
$x^{3} + x^{2} - 17 x + 15$
$x^{3} + x^{2} + 17 x + 15$
$x^{3} - x^{2} - 17 x + 15$
None of these

A

x^{3} - x^{2} - 17 x + 15

B

None of these

C

x^{3} + x^{2} - 17 x + 15

D

x^{3} + x^{2} + 17 x + 15

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Solution

Verified by Toppr

$(x + 5) (x - 3) (x - 1)$

$= (x^{2} + 2 x - 15) (x - 1)$

$= x^{3} - x^{2} + 2 x^{2} - 2 x - 15 x + 15$

$= x^{3} + x^{2} - 17 x + 15$

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